Search a number
-
+
3620382938214 = 23743167120997
BaseRepresentation
bin110100101011101111101…
…000111001010001100110
3110211002211201012212122220
4310223233220321101212
5433304021013010324
611411103030533210
7522364315140000
oct64535750712146
913732751185586
103620382938214
111176439870459
124a57a2b07206
132035292b16a3
14c7328265370
1564293c70b79
hex34aefa39466

3620382938214 has 160 divisors (see below), whose sum is σ = 8849758872576. Its totient is φ = 986078681280.

The previous prime is 3620382938209. The next prime is 3620382938311. The reversal of 3620382938214 is 4128392830263.

It is a happy number.

It is a super-2 number, since 2×36203829382142 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29860764 + ... + 29981760.

Almost surely, 23620382938214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3620382938214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424879436288).

3620382938214 is an abundant number, since it is smaller than the sum of its proper divisors (5229375934362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3620382938214 is a wasteful number, since it uses less digits than its factorization.

3620382938214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121128 (or 121107 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 3620382938214 in words is "three trillion, six hundred twenty billion, three hundred eighty-two million, nine hundred thirty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 67 93 98 134 147 186 201 217 294 343 402 434 469 651 686 938 1029 1302 1407 1519 2058 2077 2401 2814 3038 3283 4154 4557 4802 6231 6566 7203 9114 9849 10633 12462 14406 14539 19698 21266 22981 29078 31899 43617 45962 63798 68943 74431 87234 101773 120997 137886 148862 160867 203546 223293 241994 305319 321734 362991 446586 482601 610638 712411 725982 846979 965202 1424822 1693958 2137233 2540937 3750907 4274466 4986877 5081874 5928853 7501814 8106799 9973754 11252721 11857706 14960631 16213598 17786559 22505442 24320397 26256349 29921262 35573118 41501971 48640794 52512698 56747593 78769047 83003942 113495186 124505913 157538094 170242779 183794443 249011826 251310769 290513797 340485558 367588886 397233151 502621538 551383329 581027594 753932307 794466302 871541391 1102766658 1191699453 1286561101 1507864614 1743082782 1759175383 2383398906 2573122202 2780632057 3518350766 3859683303 5277526149 5561264114 7719366606 8341896171 9005927707 10555052298 12314227681 16683792342 18011855414 19464424399 24628455362 27017783121 36942683043 38928848798 54035566242 58393273197 73885366086 86199593767 116786546394 172399187534 258598781301 517197562602 603397156369 1206794312738 1810191469107 3620382938214